Question

For which values of p does the following equation has equal roots?
2x
2
-px+8=0​

Answer 1

Step-by-step explanation:

2x

2

+x−kx+8=0

or 2x

2

+(1−k)+8=0

To have equal and real roots, b

2

−4ac=0, i.e.,

(1−k)

2

−4×2×8=0

or (1−k)

2

=64

or 1−k=±8

i.e., k=1±8=9 or-7

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